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OMEGA PUBLICATION-INTEGRALS-Important Questions from Miscellaneous Exercise
- Evaluate int(pi//2)^(pi) e^(x) ((1-sin x)/(1-cosx))dx.
03:21
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- Evaluate : int(0)^(pi) (x tan x)/(sec x +tan x) dx.
04:27
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- Evaluate int(0)^(pi//4) (sin x cos x)/(cos^(2)x +sin^(4)x)dx.
03:56
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- Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...
05:23
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- Evaluate the following integral int((e^(5logx)-e^(4logx)) dx)/((e^(3...
03:29
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- Evaluate int (1)/(sqrt(sin^(3)x sin (x+alpha))dx.
03:27
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- Show that : int(0)^(pi//2) (sqrt(tan x) +sqrt(cot x))dx=sqrt(2)pi.
04:34
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- Evaluate : int(0)^(pi) (x dx)/(a^(2)cos^(2)x +b^(2)sin^(2)x).
04:53
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- Evaluate int ((sin^(-1) sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^...
05:09
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- Evaluate : int(0)^(1//sqrt(2)) (1)/(sqrt(1-x^(2)))dx
01:33
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- Evaluate int(pi//2)^(pi) e^(x) ((1-sin x)/(1-cosx))dx.
03:21
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- Evaluate : int(0)^(pi) (x tan x)/(sec x +tan x) dx.
04:27
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- Evaluate int(0)^(pi//4) (sin x cos x)/(cos^(2)x +sin^(4)x)dx.
03:56
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- Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...
05:23
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- Evaluate int (e^(5log x)-e^(4log x))/(e^(3log x)-e^(2log x))dx.
02:53
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- Evaluate int (1)/(sqrt(sin^(3)x sin (x+alpha))dx.
03:27
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- Show that : int(0)^(pi//2) (sqrt(tan x) +sqrt(cot x))dx=sqrt(2)pi.
04:34
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- Evaluate : int(0)^(pi) (x dx)/(a^(2)cos^(2)x +b^(2)sin^(2)x).
04:53
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- Evaluate int ((sin^(-1) sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^...
05:09
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- Evaluate : int(0)^(1//sqrt(2)) (1)/(sqrt(1-x^(2)))dx
01:33
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